Geodesic
The linear factorization of polynomial operator pencils
Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 551-559

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Sufficient conditions are found for the linear factorization of polynomial operator pencils of arbitrary order in a Banach space. This factorization is generated by the solution of an appropriate operator equation. 
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     author = {G. A. Isaev},
     title = {The linear factorization of polynomial operator pencils},
     journal = {Matemati\v{c}eskie zametki},
     pages = {551--559},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a8/}
}
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G. A. Isaev. The linear factorization of polynomial operator pencils. Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 551-559. http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a8/